Use a graphing utility to graph the polar equation below.Find the area of the region between the loops of r = 6(1 + 2 sin(𝜃))

Question

Use a graphing utility to graph the polar equation below.Find the area of the region between the loops of r = 6(1 + 2 sin(𝜃))
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Solution 1

To solve this problem, we need to follow these steps:

  1. Graph the polar equation: First, you need to input the polar equation r = 6(1 + 2 sin(𝜃)) into a graphing utility. This could be a graphing calculator or an online tool like Desmos or GeoGebra. The graph will show a rose curve with 2 loops.

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